4092 has 24 divisors (see below), whose sum is σ = 10752. Its totient is φ = 1200.

The previous prime is 4091. The next prime is 4093. The reversal of 4092 is 2904.

4092 = 19² + 20² + ... + 26².

It is an interprime number because it is at equal distance from previous prime (4091) and next prime (4093).

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 4092.

It is not an unprimeable number, because it can be changed into a prime (4091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117 + ... + 147.

It is an arithmetic number, because the mean of its divisors is an integer number (448).

2⁴⁰⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5376).

4092 is an abundant number, since it is smaller than the sum of its proper divisors (6660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4092 is a wasteful number, since it uses less digits than its factorization.

4092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 4092 is about 63.9687423669. The cubic root of 4092 is about 15.9947899703.

Adding to 4092 its reverse (2904), we get a palindrome (6996).

It can be divided in two parts, 409 and 2, that multiplied together give a palindrome (818).

The spelling of 4092 in words is "four thousand, ninety-two".